Multiple choice

What is the least common multiple of p3 + q3 + 3p2q + 3pq2 and p2 - q2?

  1. (p + q)3

  2. (p + q)

  3. (p + q)3 (p - q)

  4. (p - q)3 (p + q)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

p3 + q3 + 3p2q + 3pq2 = (p + q)3 Factors of (p + q)3 = (p + q) (p + q) (p + q) Factors of p2 - q2 = (p - q) (p + q) LCM = (p + q)3 (p - q)

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